Search Results - "Klamroth, Kathrin"
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1
Nonconvex constrained optimization by a filtering branch and bound
Published in Journal of global optimization (01-05-2021)“…A major difficulty in optimization with nonconvex constraints is to find feasible solutions. As simple examples show, the α BB-algorithm for single-objective…”
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Hypervolume scalarization for shape optimization to improve reliability and cost of ceramic components
Published in Optimization and engineering (01-06-2021)“…In engineering applications one often has to trade-off among several objectives as, for example, the mechanical stability of a component, its efficiency, its…”
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SCORE Band Visualizations: Supporting Decision Makers in Comparing High-Dimensional Outcome Vectors in Multiobjective Optimization
Published in IEEE access (2024)“…Clearly arranged visualizations are needed in multiobjective optimization problems with a large number of objective functions, when a large number of Pareto…”
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Combining Traveling Salesman and Traveling Repairman Problems: A multi-objective approach based on multiple scenarios
Published in Computers & operations research (01-12-2019)“…•Multi-objective Traveling Salesman or Repairman Problem with different scenarios.•Handling of uncertainty in travel data by generating alternative tour…”
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Event-based MILP models for ridepooling applications
Published in European journal of operational research (16-09-2022)“…•New event-based model for DARP focussing on user allocations.•Pairing, precedence and capacity constraints are handled implictly•MILP formulations outperform…”
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On the representation of the search region in multi-objective optimization
Published in European journal of operational research (16-09-2015)“…•We describe the search region in multi-objective optimization by local upper bounds.•The complexity of the description directly translates to generic solution…”
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Ordinal optimization through multi-objective reformulation
Published in European journal of operational research (01-12-2023)“…•Ordinal optimization as a specific case of multi-objective optimization.•Linear transformation to multi-objective combinatorial problems with binary…”
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8
Efficient dominance filtering for unions and Minkowski sums of non-dominated sets
Published in Computers & operations research (01-03-2024)Get full text
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Consensus-based optimization for multi-objective problems: a multi-swarm approach
Published in Journal of global optimization (01-07-2024)“…We propose a multi-swarm approach to approximate the Pareto front of general multi-objective optimization problems that is based on the consensus-based…”
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10
A tight formulation for the dial-a-ride problem
Published in European journal of operational research (01-03-2025)“…Ridepooling services play an increasingly important role in modern transportation systems. With soaring demand and growing fleet sizes, the underlying route…”
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PINN training using biobjective optimization: The trade-off between data loss and residual loss
Published in Journal of computational physics (01-09-2023)“…Physics informed neural networks (PINNs) have proven to be an efficient tool to represent problems for which measured data are available and for which the…”
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Multi-objective matroid optimization with ordinal weights
Published in Discrete Applied Mathematics (15-08-2023)“…Bi-objective optimization problems on matroids are in general intractable and their corresponding decision problems are in general NP-hard. However, if one of…”
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Biconvex sets and optimization with biconvex functions: a survey and extensions
Published in Mathematical methods of operations research (Heidelberg, Germany) (01-12-2007)“…The problem of optimizing a biconvex function over a given (bi)convex or compact set frequently occurs in theory as well as in industrial applications, for…”
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A linear bound on the number of scalarizations needed to solve discrete tricriteria optimization problems
Published in Journal of global optimization (01-04-2015)“…Multi-objective optimization problems are often solved by a sequence of parametric single-objective problems, so-called scalarizations. If the set of…”
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Efficient and sparse neural networks by pruning weights in a multiobjective learning approach
Published in Computers & operations research (01-05-2022)“…Overparameterization and overfitting are common concerns when designing and training deep neural networks, that are often counteracted by pruning and…”
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Interactive Nonconvex Pareto Navigator for multiobjective optimization
Published in European journal of operational research (16-05-2019)“…•Characterizing navigation methods via their desirable properties.•New cones to facilitate navigation on nonconvex Pareto fronts.•Reflecting trade-off rates on…”
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17
A box decomposition algorithm to compute the hypervolume indicator
Published in Computers & operations research (01-03-2017)“…We propose a new approach to the computation of the hypervolume indicator, based on partitioning the dominated region into a set of axis-parallel…”
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Biobjective optimization problems on matroids with binary costs
Published in Optimization (03-07-2023)“…Like most multiobjective combinatorial optimization problems, biobjective optimization problems on matroids are in general intractable and their corresponding…”
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Branch-and-bound and objective branching with three or more objectives
Published in Computers & operations research (01-12-2022)Get full text
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20
A simple, efficient and versatile objective space algorithm for multiobjective integer programming
Published in Mathematical methods of operations research (Heidelberg, Germany) (01-08-2024)“…In the last years a multitude of algorithms have been proposed to solve multiobjective integer programming problems. However, only few authors offer…”
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